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Simplifying log(67) = log(23x) Reorder the terms for easier multiplication: 67glo = log(23x) Remove parenthesis around (23x) 67glo = glo * 23x Reorder the terms for easier multiplication: 67glo = 23glo * x Multiply glo * x 67glo = 23glox Solving 67glo = 23glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-23glox' to each side of the equation. 67glo + -23glox = 23glox + -23glox Combine like terms: 23glox + -23glox = 0 67glo + -23glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(67 + -23x) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(67 + -23x)' equal to zero and attempt to solve: Simplifying 67 + -23x = 0 Solving 67 + -23x = 0 Move all terms containing g to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + -23x = 0 + -67 Combine like terms: 67 + -67 = 0 0 + -23x = 0 + -67 -23x = 0 + -67 Combine like terms: 0 + -67 = -67 -23x = -67 Add '23x' to each side of the equation. -23x + 23x = -67 + 23x Combine like terms: -23x + 23x = 0 0 = -67 + 23x Simplifying 0 = -67 + 23x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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